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1998 AMC 12 Question 17

AMC12 · 1998 AMC 12

Question 17

Let $f(x)$ be a function with the two properties:

(a) for any two real numbers $x$ and $y,$ $f(x+y)=x+f(y),$ and

(b) $f(0)=2.$

What is the value of $f(1998)?$
  1. $0$
  2. $2$
  3. $1996$
  4. $1998$
  5. $2000$